Monopole-fermion scattering in a chiral gauge theory

The scattering of electrically charged fermions on magnetic monopole leads to the Callan-Rubakov effect. We discuss some aspects of this problem for Abelian gauge theories with chiral fermions in a Dirac monopole background. In some cases, it is possible to embed the theory in a non-Abelian gauge theory where the monopole is regularized as a 't Hooft-Polyakov monopole. One theory of this kind is the SU(N) chiral gauge theory with fermions in the representation square square (R) square (R) 8 x square<overline>, also called the "psi chi eta" model, with an extra adjoint scalar that induces the abelianization of the gauge group. We examine this model in detail and provide a possible solution for the condensates around the monopole, the symmetry preserving boundary conditions, and discuss the particle scattering problem.